Scalar tachyons in the de Sitter universe

Letters in Mathematical Physics

Volumn 93, Issue 2, 2010, Pages 203-211

  Bros, Jacques ^a   Epstein, Henri ^b   Moschella, Ugo ^c,d  

^a DIF   (France)

^b INSTITUT DES HAUTES ÉTUDES SCIENTIFIQUES   (France)

^c UNIVERSITY OF INSUBRIA   (Italy)

^d INFN SEZIONE DI MILANO   (Italy)

Author keywords

Quantum fields on curved spacetimes; Tachyons

Indexed keywords

EID: 77955095540     PISSN: 03779017     EISSN: 15730530     Source Type: Journal    
DOI: 10.1007/s11005-010-0406-4     Document Type: Article

References (28)

1. Feinberg G.: Possibility of faster-than-light particles. Phys. Rev. 159, 1089 (1967).
2. 2 field equations. Phys. Rev. D 3, 1764 (1971).
3. Nachtmann O.: Dynamische Stabilität im de-Sitter-raum. Österr. Akad. Wiss. Math.-Naturw. Kl. Abt. II 176, 363-379 (1968).
4. Thirring, W.: Quantum field theory in de Sitter space. Acta Phys. Austriaca suppl. IV, 269 (1967).
5. Gibbons G. W., Hawking S. W.: Cosmological event horizons, thermodynamics, and particle creation. Phys. Rev. D 15, 2738-2751 (1977).
6. Chernikov N. A., Tagirov E. A.: Quantum theory of scalar fields in de Sitter space- time. Ann. Poincare. Phys. Theor. A 9, 109 (1968).
7. Bunch T. S., Davies P. C. W.: Proc. R. Soc. Lond. A 360, 117 (1978).
8. Allen B.: Vacuum states in de Sitter space. Phys. Rev. D 32, 3136 (1985).
9. Bros J., Gazeau J. P., Moschella U.: Quantum field theory in the de Sitter universe. Phys. Rev. Lett. 73, 1746 (1994).
10. Bros J., Moschella U.: Two-point functions and quantum fields in de Sitter universe. Rev. Math. Phys. 8, 327 (1996) arXiv: gr-qc/9511019.
11. Dixmier J.: Représentations intégrables du groupe de De Sitter. Bull. Soc. Math. Fr. 89, 9 (1961).
12. Gel'fand I. M., Graev M. I.: Application of the method of horospheres to spectral analysis of functions on real and imaginary Lobachevsky spaces. Trudy Moskov. Mat. Obšč. 11, 243 (1962).
13. Takahashi R.: Sur les représentations unitaires des groups de Lorentz généralisés. Bull. Soc. Math. Fr. 91, 289 (1963).
14. Gel'fand I. M., Graev M. I., Vilenkin N. Y.: Generalized Functions: Integral Geometry and Representation Theory, vol. 5. Academic Press, New York (1966).
15. Molčanov V. F.: Harmonic anlysis on a hyperboloid of one sheet. Soviet Math. Dokl. 7, 1553 (1966).
16. Faraut, J.: Noyaux sphériques sur un hyperboloïde à une nappe. In: Lecture Notes in Mathematics, vol. 497. Springer-Verlag, Berlin (1975).
17. Polyakov A. M.: De Sitter space and eternity. Nucl. Phys. B 797, 199 (2008) arXiv: 0709. 2899 [hep-th].
18. Polyakov, A. M.: Decay of vacuum energy. arXiv: 0912. 5503 [hep-th].
19. Bros, J., Epstein, H., Moschella, U.: Lifetime of a massive particle in a de Sitter universe. JCAP 0802, 003 (2008). Particle decays and stability on the de Sitter universe. e-Print: arXiv: 0812. 3513 [hep-th].
20. Bros J., Epstein H., Gaudin M., Moschella U., Pasquier V.: Triangular invariants, three-point functions and particle stability on the de Sitter universe. Commun. Math. Phys. 295, 261 (2010).
21. Bertola M., Corbetta F., Moschella U.: Massless scalar field in two-dimensional de Sitter universe. Prog. Math. 251, 27 (2007) arXiv: math-ph/0609080.
22. Erdelyi A., Magnus W., Oberhettinger F., Tricomi F. G.: Higher Transcendental Functions, vol. 1. McGraw-Hill, New York (1953).
23. Allen B., Folacci A.: The massless minimally coupled scalar field in de Sitter space. Phys. Rev. D 35, 3771 (1987).
24. Bernard D., Folacci A.: Hadamard function, stress tensor and de Sitter space. Phys. Rev. D 34, 2286 (1986).
25. Tadaki S.: Stress tensor in de Sitter space. Prog. Theor. Phys. 80, 654 (1988).
26. Miao, S. P., Tsamis, N. C., Woodard, R. P.: De Sitter breaking through infrared divergences. arXiv: 1002. 4037 [gr-qc].
27. Folacci A.: Zero modes, euclideanization and quantization. Phys. Rev. D 46, 2553 (1992).
28. Joung E., Mourad J., Parentani R.: Group theoretical approach to quantum fields in de Sitter space II. The complementary and discrete series. JHEP 09, 30 (2007) arXiv: 0707. 2907 [hep-th].